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2 years ago

Please help ill mark brainliest

Mathematics

1 answer:

ella [17]2 years ago

3 0

Answer:

Equation : y = 6

Explanation:

It is a straight line, cuts y axis and does not meet x axis.

Equation of the line is y = 6

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I need help remembering the steps for 2x+5y=-7

dsp73

Get Y by itself so it' should look like this

5y=2x+7 after then you have divide 5 onto the right side and it should look like

Y=2/5x+7/5

7 0

3 years ago

What is 7/10 - 1/4 (fraction)

mylen [45]

7/10 - 1/4 use common denominators
28/40 - 10/40 = 18/40 = 9/20

5 0

3 years ago

Lagrange multipliers have a definite meaning in load balancing for electric network problems. Consider the generators that can o

Ivahew [28]

Answer:

The load balance $(x_1,x_2,x_3)=(545.5,272.7,181.8)$ Mw minimizes the total cost

Step-by-step explanation:

Optimizing With Lagrange Multipliers

When a multivariable function f is to be maximized or minimized, the Lagrange multipliers method is a pretty common and easy tool to apply when the restrictions are in the form of equalities.

Consider three generators that can output xi megawatts, with i ranging from 1 to 3. The set of unknown variables is x1, x2, x3.

The cost of each generator is given by the formula

$\displaystyle C_i=3x_i+\frac{i}{40}x_i^2$

It means the cost for each generator is expanded as

$\displaystyle C_1=3x_1+\frac{1}{40}x_1^2$

$\displaystyle C_2=3x_2+\frac{2}{40}x_2^2$

$\displaystyle C_3=3x_3+\frac{3}{40}x_3^2$

The total cost of production is

$\displaystyle C(x_1,x_2,x_3)=3x_1+\frac{1}{40}x_1^2+3x_2+\frac{2}{40}x_2^2+3x_3+\frac{3}{40}x_3^2$

Simplifying and rearranging, we have the objective function to minimize:

$\displaystyle C(x_1,x_2,x_3)=3(x_1+x_2+x_3)+\frac{1}{40}(x_1^2+2x_2^2+3x_3^2)$

The restriction can be modeled as a function g(x)=0:

$g: x_1+x_2+x_3=1000$

$g(x_1,x_2,x_3)= x_1+x_2+x_3-1000$

We now construct the auxiliary function

$f(x_1,x_2,x_3)=C(x_1,x_2,x_3)-\lambda g(x_1,x_2,x_3)$

$\displaystyle f(x_1,x_2,x_3)=3(x_1+x_2+x_3)+\frac{1}{40}(x_1^2+2x_2^2+3x_3^2)-\lambda (x_1+x_2+x_3-1000)$

We find all the partial derivatives of f and equate them to 0

$\displaystyle f_{x1}=3+\frac{2}{40}x_1-\lambda=0$

$\displaystyle f_{x2}=3+\frac{4}{40}x_2-\lambda=0$

$\displaystyle f_{x3}=3+\frac{6}{40}x_3-\lambda=0$

$f_\lambda=x_1+x_2+x_3-1000=0$

Solving for \lambda in the three first equations, we have

$\displaystyle \lambda=3+\frac{2}{40}x_1$

$\displaystyle \lambda=3+\frac{4}{40}x_2$

$\displaystyle \lambda=3+\frac{6}{40}x_3$

Equating them, we find:

$x_1=3x_3$

$\displaystyle x_2=\frac{3}{2}x_3$

Replacing into the restriction (or the fourth derivative)

$x_1+x_2+x_3-1000=0$

$\displaystyle 3x_3+\frac{3}{2}x_3+x_3-1000=0$

$\displaystyle \frac{11}{2}x_3=1000$

$x_3=181.8\ MW$

And also

$x_1=545.5\ MW$

$x_2=272.7\ MW$

The load balance $(x_1,x_2,x_3)=(545.5,272.7,181.8)$ Mw minimizes the total cost

5 0

3 years ago

Dimas [21]

Answer:

0.150 < (Proportion of Sandy's pie) < 0.167

15% < (Percentage of Sandy's pie) < 16.7%

Step-by-step explanation:

Total percentage of pie = 100% or 1

George, Sandy, Carlos, and Michelle all ate a piece of the pie.

George ate a fraction of 0.150

Michelle ate a fraction of (1/6) = 0.167

Carlos ate a fraction of (1/7) = 0.143

The amount of pie left = 1 - 0.15 - (1/6) - (1/7) = 0.5405

And Sandy is known to eat more than two of her friends, but less than one of them.

Of the amount of pie eaten by the first 3 friends, (1/6) is the highest proportion.

Hence, it is evident that Sandy ate more than 0.143 and 0.150 (Carlos and George) but less than Michelle (0.167).

So, mathematically, the possible proportion of cake that Sandy ate is

0.150 < (Proportion of Sandy's pie) < 0.167

Hope this Helps!!!

7 0

2 years ago

Madelyn is in a hot air balloon that has just taken off and is floating above its launching point. Eddie is standing on the grou

Morgarella [4.7K]

Answer:

8.9 meters

Step-by-step explanation:

this seems like a problem where you can use the pythagorean theorem:

you know one of the two legs (6m) and the hypotenuse (9m), you must find the other leg

a^2 + 6^2 = 9^2

a^2 + 36 = 81

a^2 = 45

a = $\sqrt{45}$ or $\sqrt{9}$ · $\sqrt{5}$ which simplifies to be 3 $\sqrt{5}$ or approx. 8.9 meters

7 0

2 years ago